The Mindlin model and hierarchical approach by Engelbrecht and Pastrone are used for modelling 1D wave propagation in microstructured solids. After introducing the free energy function, one gets from Euler–Lagrange equations a system of equations of motion. Making use of the slaving principle,...

In this paper, propagation of axisymmetric deformation waves in circular cylindrical rods of compressible hyperelastic material is studied. The corresponding model equation that describes propagation of waves of moderate wave-length takes into account the coupling effect of the material...